Solve 4*(5y+3)+5*(7-2y)=0

$$4 \cdot ( 5 y + 3 ) + 5 \cdot ( 7 - 2 y ) = 0$$

Solve for y

$$y = -\frac{47}{10} = -4\frac{7}{10} = -4.7$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 5y+3.

$$20y+12+5\left(7-2y\right)=0$$

Use the distributive property to multiply 5 by 7-2y.

$$20y+12+35-10y=0$$

Add 12 and 35 to get 47.

$$20y+47-10y=0$$

Combine 20y and -10y to get 10y.

$$10y+47=0$$

Subtract 47 from both sides. Anything subtracted from zero gives its negation.

$$10y=-47$$

Divide both sides by 10.

$$y=\frac{-47}{10}$$

Fraction \frac{-47}{10} can be rewritten as -\frac{47}{10} by extracting the negative sign.

$$y=-\frac{47}{10}$$